Macrotonal edonois
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A macrotonal edonoi would be, by definition, a scale which meets two constraints: * [[macrotonal]] - all steps are larger than a semitone * [[edonoi]] - it consists of a single step stacked over and over which does not repeat at an octave Examples include equal-tempered [[BP|Bohlen Pierce]] (a.k.a. the 13th root of 3), the [[square root of 13 over 10|square root of 13:10]], the [[12edt|12th root of 3]], the [[4edf|4th root of 3:2]], and the [[6edf|6th root of 3:2]]. They are related, in step-size and equality of steps, to [[macrotonal edos]], but while macrotonal edos are a finite set, macrotonal edonoi are theoretically infinite. ==equal divisions of compound octaves== What about dividing a compound octave, say, 4:1 or 8:1? Examples of this kind of scale would include the 15th root of 4 and the 22nd root of 8. Do they count as edonoi?
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<html><head><title>macrotonal edonois</title></head><body>A macrotonal edonoi would be, by definition, a scale which meets two constraints:<br /> <ul><li><a class="wiki_link" href="/macrotonal">macrotonal</a> - all steps are larger than a semitone</li><li><a class="wiki_link" href="/edonoi">edonoi</a> - it consists of a single step stacked over and over which does not repeat at an octave</li></ul><br /> Examples include equal-tempered <a class="wiki_link" href="/BP">Bohlen Pierce</a> (a.k.a. the 13th root of 3), the <a class="wiki_link" href="/square%20root%20of%2013%20over%2010">square root of 13:10</a>, the <a class="wiki_link" href="/12edt">12th root of 3</a>, the <a class="wiki_link" href="/4edf">4th root of 3:2</a>, and the <a class="wiki_link" href="/6edf">6th root of 3:2</a>.<br /> <br /> They are related, in step-size and equality of steps, to <a class="wiki_link" href="/macrotonal%20edos">macrotonal edos</a>, but while macrotonal edos are a finite set, macrotonal edonoi are theoretically infinite.<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h2> --><h2 id="toc0"><a name="x-equal divisions of compound octaves"></a><!-- ws:end:WikiTextHeadingRule:0 -->equal divisions of compound octaves</h2> <br /> What about dividing a compound octave, say, 4:1 or 8:1? Examples of this kind of scale would include the 15th root of 4 and the 22nd root of 8. Do they count as edonoi?</body></html>